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(ed.). Gravitational waves (IOP, 2001)(422s).

(ed.). Gravitational waves (IOP, 2001)(422s).

(ed.). Gravitational waves (IOP, 2001)(422s).

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Inspiral binary waveform 355H + (1) = 1 6 [(19 + 9c2 i − 2ci 4 ) − ν(19 − 11c2 i − 6ci 4 )] cos 2ψ− 4 3 s2 i (1 + c2 i )(1 − 3ν)cos 4ψ, (17.78)H (3/2)+ = s i δm192 m {[(57 + 60c2 i − ci 4 ) − 2ν(49 − 12c2 i − ci 4 )] cos ψ− 27 2 [(73 + 40c2 i − 9ci 4 ) − 2ν(25 − 8c2 i − 9ci 4 )] cos 3ψ+ 6252 (1 − 2ν)s2 i (1 + c2 i ) cos 5ψ}−2π(1 + c2 i ) cos 2ψ, (17.79)H + (2) = 120 1 [(22 + 396c2 i + 145ci 4 − 5ci 6 ) + 5 3 ν(706 − 216c2 i − 251ci 4 + 15ci 6 )− 5ν 2 (98 − 108ci 2 + 7ci 4 + 5ci 6 )] cos 2ψ+15 2 s2 i [(59 + 35c2 i − 8ci 4 ) − 5 3 ν(131 + 59c2 i − 24ci 4 )+ 5ν 2 (21 − 3ci 2 − 8ci 4 )] cos 4ψ− 8140 (1 − 5ν + 5ν2 )si 4 (1 + c2 i ) cos 6ψ+ s i δm40 m {[11 + 7c2 i + 10(5 + ci 2 ) ln 2] sin ψ − 5π(5 + c2 i ) cos ψ− 27[7 − 10 ln(3/2)](1 + ci 2 ) sin 3ψ + 135π(1 + c2 i ) cos 3ψ}, (17.80)and for the cross-polarization byH × (0) =−2c i sin 2ψ, (17.81)H (1/2)× =− 3 4 s δmi c i [sin ψ − 3 sin 3ψ], (17.82)mH × (1) = c i3 [(17 − 4c2 i ) − ν(13 − 12c2 i )] sin 2ψ − 8 3 (1 − 3ν)c isi 2 sin 4ψ,(17.83)H (3/2)× = s ic i δm96 m {[(63 − 5c2 i ) − 2ν(23 − 5c2 i )] sin ψ− 27 2 [(67 − 15c2 i ) − 2ν(19 − 15c2 i )] sin 3ψ+ 6252 (1 − 2ν)s2 i sin 5ψ}−4πc i sin 2ψ, (17.84)H × (2) = c i60 [(68 + 226c2 i − 15ci 4 ) + 5 3 ν(572 − 490c2 i + 45ci 4 )− 5ν 2 (56 − 70ci 2 + 15ci 4 )] sin 2ψ+15 4 c i si 2 [(55 − 12c2 i ) − 5 3 ν(119 − 36c2 i ) + 5ν2 (17 − 12ci 2 )] sin 4ψ− 8120 (1 − 5ν + 5ν2 )c i si 4 sin 6ψ− 320 s δmi c i {[3 + 10 ln 2] cos ψ + 5π sin ψm− 9[7 − 10 ln(3/2)] cos 3ψ − 45π sin 3ψ}. (17.85)The notation is consistent with sections 17.3 and 17.4. In particular, the post-Newtonian parameter x is defin<strong>ed</strong> by (17.46). We use the shorthands c i = cos i

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